Calculus 1 Derivatives of Math Functions Review Course
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Calculus 1 Derivatives of Math Functions Review Course

Differentiation of Polynomial, Rational, Radical, Exponential, Trigonometric and Logarithmic Functions.
0.0 (0 ratings)
Instead of using a simple lifetime average, Udemy calculates a course's star rating by considering a number of different factors such as the number of ratings, the age of ratings, and the likelihood of fraudulent ratings.
5 students enrolled
Last updated 5/2017
English
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Current price: $10 Original price: $60 Discount: 83% off
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Includes:
  • 2.5 hours on-demand video
  • Full lifetime access
  • Access on mobile and TV
  • Certificate of Completion
What Will I Learn?
  • This course will help you to master your ability to find the derivative of a function.
View Curriculum
Requirements
  • Students should know the basics of Algebra and Precalculus before taking this course.
Description

This calculus 1 derivatives course focuses on differentiating functions.  It explains how to find the derivatives of functions that you will typically encounter in your first semester calculus.  This course is for university students taking college calculus and high school students who are taking AP Calculus AB.

Here is a list of topics:

1.  Derivatives of Constants

2.  The Power Rule and Constant Multiple Rule

3.  Derivatives of Rational Functions

4.  Derivatives of Square Root and Radical Functions

5.  How to Differentiate Polynomial Functions Using The Sum and Difference Rule

6.  Derivatives of Trigonometric Functions - sin, cos, tan, sec, cot, csc

7.  Average Rate of Change vs Instantaneous Rate of Change

8.  Writing Equations of the Tangent Line

9.  Limit Definition of the Derivative Process

10.  Alternative Form of Limit Definition of Derivative 

11.  Derivatives of Exponential Functions

12.  Derivatives of Natural Log Functions - Ln x

13.  Differentiation of Logarithmic Functions

14.  The Product rule and Quotient Rule

15.  The Chain Rule - Plenty of Examples

16.  Implicit Differentiation

17.  Derivatives of Inverse Trigonometric Functions

18.  Logarithmic Differentiation

19.  Free Response Video Quiz

Who is the target audience?
  • This course is for students who are currently taking calculus 1.
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Curriculum For This Course
25 Lectures
02:23:51
+
Introduction
1 Lecture 00:31

This is an introductory video.

Preview 00:31
+
Derivatives Review
24 Lectures 02:23:20

This video explains how to find the derivative of a constant which is always zero by the way.

The Constant Rule
01:51

This tutorial explains how to differentiate a monomial using the power rule.

Preview 01:50

This video discusses the use of the constant multiple rule which is used to differentiate a monomial with a constant in front of it.  The power rule is required for this process as well.

The Constant Multiple Rule
03:10

This video explains how to find the derivative of a rational function in the form of a fraction using the power rule.  You need to rewrite the function before you differentiate it.

Preview 03:10

This lesson explains how to find the derivative of square root and radical functions by rewriting the function and using the power rule.

Preview 07:51

This tutorial provides a basic introduction into the derivatives of the six trigonometric functions - sine, cosine, tangent, cotangent, cosecant, and secant.

Derivatives of Basic Trigonometric Functions
02:22

This video explains how to differentiate polynomial functions using the sum and difference rule.

Sum and Difference Rules
03:46

This tutorial explains how to calculate the average rate of change of a function and the instantaneous rate of change as well.  The instantaneous rate of change is equal to the slope of the tangent line which touches the graph at a single point.  The average rate of change is equivalent to the slope of the secant line which touches the graph at two points.

Preview 07:38

This video tutorial explains how to estimate the instantaneous rate of change given a table of values using the average rate of change formula.

Estimating The Instantaneous Rate of Change Given a Table of Values
03:22

This video explains how to write the equation of the tangent line given a function and an x value.

Tangent Line Equation
06:19

This lecture explains how to find the derivative function using the limit process.

Preview 09:36

This video provides more examples on limits and derivatives.

More Examples With Limits and Derivatives
02:09

This tutorial explains how to calculate the instantaneous rate of change or slope of the tangent line using the alternative form of the limit derivative formula.

Alternative Form of the Limit Derivative Function
05:50

This lecture explains how to find the derivative of exponential functions.

Preview 03:00

This video lesson discusses how to differentiate natural log functions using a simple formula.

Preview 01:51

This tutorial explains how to find the derivative of logarithmic functions using a simple formula.

Derivatives of Logarithmic Functions
02:25

This tutorial explains how to find the derivative of two functions multiplied to each other using the product rule.

The Product Rule
06:21

This tutorial explains how to find the derivative of a division of two functions using the quotient rule.

The Quotient Rule
06:05

This lesson provides many examples of finding the derivative of a composite function using the chain rule.

The Chain Rule
18:17

This video explains how to find the derivative of an equation with x and y variables using implicit differentiation.

Implicit Differentiation
06:15

This video explains how to find the derivative of an inverse trigonometric function such as sin^-1 or arctangent.

Inverse Trig Functions
04:03

This tutorial explains how to differentiate a function with a variable raised to another variable using logarithmic differentiation.

Logarithmic Differentiation
07:26

This free response video quiz contains 5 questions with the solutions.  It's recommended to pause the video first and work on the problem before viewing the solution.

Video Quiz 1
15:24

This video quiz also contains 5 free response questions which covers some of the differentiation techniques covered in this course module.

Video Quiz 2
13:19
About the Instructor
Mr. Julio Gonzalez
4.5 Average rating
67 Reviews
571 Students
6 Courses
Math & Science Teacher

I started my education career by tutoring students right after high school and into college receiving a BA in Chemistry.  The request that I usually receive were hard core topics like Algebra, Geometry, Trigonometry, Precalculus, Calculus, General Chemistry, Physics, and Organic Chemistry.

Over time, I learned which teaching methods are most effective for helping students to not only understand the material but to retain it and to apply it during an exam to boost their score.  Now, I focus more on creating videos and online courses that help not just students in my locality but students worldwide who might be struggling with this course.

Best Regards,

Julio G.